Finding the Third Proportional to 21,738 and 31,971

Step by Step Solution

1. Step 1: Write the proportion equation
   21,738 : 31,971 = 31,971 : x
2. Step 2: Convert to fraction form
   21,738/31,971 = 31,971/x
3. Step 3: Cross multiply
   21,738x = 31,971 × 31,971
4. Step 4: Simplify right side
   21,738x = 1,022,144,841
5. Step 5: Solve for x
   x = 1,022,144,841/21,738
6. Step 6: Final answer
   x = 47,021.11